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Dwarf spheroidal (dSph) galaxies are among the most promising targets for the indirect detection of dark matter (DM) from annihilation and/or decay products. Empirical estimates of their DM content - and hence the magnitudes of expected…

High Energy Astrophysical Phenomena · Physics 2014-12-15 V. Bonnivard , C. Combet , D. Maurin , M. G. Walker

Spherical Jeans modeling is widely used to estimate mass profiles of systems from star clusters to galactic stellar haloes to clusters of galaxies. It derives the cumulative mass profile, M(<r), from kinematics of tracers of the potential…

Astrophysics of Galaxies · Physics 2022-02-23 Nabeel Rehemtulla , Monica Valluri , Eugene Vasiliev

The spherical Jeans equation is a widely used tool for dynamical study of gravitating systems in astronomy. Here we test its efficacy in robustly weighing the mass of Milky Way analogues, given they need not be in equilibrium or even…

Astrophysics of Galaxies · Physics 2018-01-31 Prajwal R. Kafle , Sanjib Sharma , Aaron S. G. Robotham , Pascal J. Elahi , Simon P. Driver

I present a flexible solution for the axisymmetric Jeans equations of stellar hydrodynamics under the assumption of an anisotropic (three-integral) velocity ellipsoid aligned with the spherical polar coordinate system. I describe and test a…

Astrophysics of Galaxies · Physics 2020-04-24 Michele Cappellari

Although still under debate, observations generally suggest that dwarf spheroidal (dSph) galaxies exhibit large constant-density cores in the centers, which can hardly be explained by dissipationless cold dark matter simulations without…

Astrophysics of Galaxies · Physics 2017-04-12 Shu-Rong Chen , Hsi-Yu Schive , Tzihong Chiueh

Dwarf galaxies are small, dark matter-dominated galaxies, some of which are embedded within the Milky Way. Their lack of baryonic matter (e.g., stars and gas) makes them perfect test beds for probing the properties of dark matter --…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-22 Tri Nguyen , Siddharth Mishra-Sharma , Reuel Williams , Lina Necib

The Jeans model is a semi-analytical approach to modeling self-interacting dark matter (SIDM) that works remarkably well to reproduce the spherically-averaged halo profiles from observations and simulations of relaxed galaxies and galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 Yilber Fabian Bautista , Andrew Robertson , Laura Sagunski , Adam Smith-Orlik , Sean Tulin

The distribution of dark matter in dwarf galaxies can have important implications on our understanding of galaxy formation as well as the particle physics properties of dark matter. However, accurately characterizing the dark matter content…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 Laura J. Chang , Lina Necib

We introduce a method for measuring the slopes of mass profiles within dwarf spheroidal (dSph) galaxies directly from stellar spectroscopic data and without adopting a dark matter halo model. Our method combines two recent results: 1)…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Matthew G. Walker , Jorge Peñarrubia

We attempt to measure the density of dark matter in the two Dwarf Spheroidal Galaxies Fornax and Sculptor using a new method which employs Jeans equations based on both the second and fourth moment of the Collisionless Boltzmann Equation…

Astrophysics of Galaxies · Physics 2013-05-06 Thomas Richardson , Malcolm Fairbairn

The spherical Jeans equation (SJE) is widely used in dynamical modelling of the Milky Way (MW) halo potential. We use haloes and galaxies from the cosmological Millennium-II simulation and hydrodynamical APOSTLE simulations to investigate…

Astrophysics of Galaxies · Physics 2018-03-21 Wenting Wang , Jiaxin Han , Shaun Cole , Surhud More , Carlos Frenk , Matthieu Schaller

The spherical Jeans equation is commonly used to infer dark matter distributions in dwarf spheroidal satellites of the Milky Way to constrain the nature of dark matter. One of its assumptions is that of dynamical equilibrium while the…

Astrophysics of Galaxies · Physics 2026-03-18 Kristian Tchiorniy , Anna Genina

The predicted size of dark matter substructures in kilo-parsec scales is model-dependent. Therefore, if the correlations between dark matter mass densities as a function of the distances between them are measured via observations, we can…

Astrophysics of Galaxies · Physics 2022-08-02 Ahmad Borzou

We present an innovative approach to the methodology of dynamical modelling, allowing practical reconstruction of the underlying dark matter mass without assuming both the density and anisotropy functions. With this, the mass-anisotropy…

The Jeans analysis is often used to infer the total density of a system by relating the velocity moments of an observable tracer population to the underlying gravitational potential. This technique has recently been applied in the search…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-21 Thomas Richardson , Malcolm Fairbairn

A widely employed method for estimating the mass of stellar systems with apparent spherical symmetry is dynamical modelling using the spherically symmetric Jeans equation. Unfortunately this approach suffers from a degeneracy between the…

Astrophysics of Galaxies · Physics 2015-06-19 Foivos I. Diakogiannis , Geraint F. Lewis , Rodrigo A. Ibata

We construct axisymmetric mass models for dwarf spheroidal (dSph) galaxies in the Milky Way to obtain plausible limits on the non-spherical structure of their dark halos. This is motivated by the fact that the observed luminous parts of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Kohei Hayashi , Masashi Chiba

Dark matter halos of dwarf spheroidal galaxies (dSphs) play important roles in dark matter detection. Generally we estimate the halo profile using a kinematical equation of dSphs but the halo profile has a large uncertainty because we have…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-16 Shun'ichi Horigome , Kohei Hayashi , Shin'ichiro Ando

Thanks to instrumental advances, new, very large kinematic datasets for nearby dwarf spheroidal (dSph) galaxies are on the horizon. A key aim of these datasets is to help determine the distribution of dark matter in these galaxies. Past…

Astrophysics · Physics 2009-11-11 Xiao Wang , Michael Woodroofe , Matthew G. Walker , Mario Mateo , Edward Olszewski

We search for evidence of dark matter in the Milky Way by utilizing the stellar number density distribution and kinematics measured by the Sloan Digital Sky Survey (SDSS) to heliocentric distances exceeding ~10 kpc. We employ the…

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